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Finding the Third Proportional to 43,075,170 and 92,205,232.50

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Solution

The third proportional to 43,075,170 and 92,205,232.50 is: 197,371,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,075,170 : 92,205,232.50 = 92,205,232.50 : x
  2. Step 2: Convert to fraction form
    43,075,170/92,205,232.50 = 92,205,232.50/x
  3. Step 3: Cross multiply
    43,075,170x = 92,205,232.50 × 92,205,232.50
  4. Step 4: Simplify right side
    43,075,170x = 8,501,804,900,379,056
  5. Step 5: Solve for x
    x = 8,501,804,900,379,056/43,075,170
  6. Step 6: Final answer
    x = 197,371,360.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.